Power law cumulative number-size distributions are widely used to describe the scaling properties of data sets and to establish scale invariance. We derive the relationships between the scaling exponents of non-cumulative and cumulative number-size distributions for linearly binned and logarithmically binned data. Cumulative number-size distributions for data sets of many natural phenomena exhi...

The present study attempted deriving and solving the falling- cylinder governing equations for power law model non-Newtonian fluids. Based on this theoretical study, a novel falling- cylinder rheometer (FCR) was designed and constructed to measure the Theological properties of non-Newtonian fluids. Different falling cylinders with predesigned densities were used to determine the apparent viscos...

A five-parameter expression for a smoothly broken power law is presented. It is used to fit Gamma-Ray Burst spectra observed by BATSE. The function is compared to previously used fourparameter functions, such as a sharply broken power law and the Band et al. (1993) function. The presented function exists as a WINGSPAN routine at http://www.astro.su.se/∼felix/wing.html

How do the lifestyles (free-living unparasitized, free-living parasitized, and parasitic) of animal species affect major ecological power-law relationships? We investigated this question in metazoan communities in lakes of Otago, New Zealand. In 13,752 samples comprising 1,037,058 organisms, we found that species of different lifestyles differed in taxonomic distribution and body mass and were ...

political power is considered as one of the most fundamental public law vocabulary, as far as the separation of political power and public law seems impossible. meanwhile it seems that this concept as the fundamental concept of public law; varies in islamic and liberal thought and there is a serious conflict between them. analysis of this claim requires a proper understanding of the concept of ...

Numerical simulations are used to investigate the multiaffine exponent alpha(q) and multigrowth exponent beta(q) of ballistic deposition growth for noise obeying a power-law distribution. The simulated values of beta(q) are compared with the asymptotic function beta(q)=1/q that is approximated from the power-law behavior of the distribution of height differences over time. They are in good agre...

Wayne Wickelgren, who died on November 2, 2005, after a long battle with Lou Gehrig’s disease, studied the time course of forgetting more assiduously and more effectively than anyone since Hermann Ebbinghaus. In a classic article, Wickelgren (1974) derived an equation that is remarkable in several respects, including in its ability to characterize the famous Ebbinghaus (1885/1913) savings funct...

We studied the effects of non-Markovian power-law voltage dependent conductances on the generation of action potentials and spiking patterns in a Hodgkin-Huxley model. To implement slow-adapting power-law dynamics of the gating variables of the potassium, n, and sodium, m and h, conductances we used fractional derivatives of order η≤1. The fractional derivatives were used to solve the kinetic e...